A 25-year-old homeless man was ordered held without bail yesterday after being charged Sunday with critically injuring a man in the Hoboken PATH station by throwing him over a railing to the platform below.

Just after 1 p.m., Hakeem Gordon, of a New York City shelter, appeared in Central Judicial Processing court via video link from Hudson County jail in Kearny in connection with the 2 a.m. incident.

In court, Hudson County Assistant Prosecutor William Specht said the 47-year-old victim remained on a ventilator. The criminal complaint charging Gordon with aggravated assault says the victim suffered a fractured skull and may have brain damage.

During the fight between the two men, Gordon pushed the victim “from the top railing” of the station “to the platform below,” P.A. police spokesman Al Della Fave said. He was rushed to the Jersey City Medical Center in critical condition, Della Fave said.

Port Authority detectives checked surveillance video and searched the PATH station for Gordon, who was wearing a very distinct jacket, Della Fave said. He was spotted and arrested at 6:30 a.m. at Washington Street and Second Street, he said.

Gordon told police he knew the victim, who is also homeless, and said they did not have a “very good relationship,” police said.

In court yesterday, Specht asked for a bail of $75,000. Public Defender John Convery asked for a $50,000 bail, saying there appeared to be an “element of provocation.” Judge Richard Nieto opted to hold Gordon without bail.

Gordon said little at the hearing other than that he would not be able to post bail. He has one prior arrest in Jersey City and three in New York, court officials said.